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Uniformly continuous superposition operators in the Banach space of Hölder functions |
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| Authors: | Janusz Matkowski |
| Affiliation: | a Faculty of Mathematics, Computer Science and Econometry, University of Zielona Góra, Podgórna 50, PL-65246 Zielona Góra, Poland b Institute of Mathematics, Silesian University, Bankowa 14, PL-40007 Katowice, Poland |
| Abstract: | Let I,J⊂R be intervals. One of the main results says that if a superposition operator H generated by a two place  ,H(φ)(x):=h(x,φ(x)), |
| Keywords: | Superposition operator Nemytskij operator Lipschitzian operator Uniformly continuous operator Hö lder's function |
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